Question

Plss answer this question wih step by step explanation very urgent do not post irrelevant answers if u i will report ​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

((4 • (a3)) + (22•3a2)) - 16a

STEP

2

:

Equation at the end of step

2

:

(22a3 + (22•3a2)) - 16a

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

4a3 + 12a2 - 16a = 4a • (a2 + 3a - 4)

Trying to factor by splitting the middle term

4.2 Factoring a2 + 3a - 4

The first term is, a2 its coefficient is 1 .

The middle term is, +3a its coefficient is 3 .

The last term, "the constant", is -4

Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is 3 .

-4 + 1 = -3

-2 + 2 = 0

-1 + 4 = 3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 4

a2 - 1a + 4a - 4

Step-4 : Add up the first 2 terms, pulling out like factors :

a • (a-1)

Add up the last 2 terms, pulling out common factors :

4 • (a-1)

Step-5 : Add up the four terms of step 4 :

(a+4) • (a-1)

Which is the desired factorization

Final result :

4a • (a + 4) • (a - 1)